RS Aggarwal Class 7 Mathematics Twentieth Chapter Mensuration Exercise 20E Solution
EXERCISE 20E
(1) Find the circumference of a circle whose radius is (i) 28 cm, (ii) 1.4 m.
SOLUTION:
![](https://www.netexplanations.com/wp-content/uploads/2018/11/Find-the-circumference-of-a-circle-whose-radius-is.jpg)
(2) Find the circumference of a circle whose diameter is (i) 35 cm, (ii) 4.9 m.
![](https://www.netexplanations.com/wp-content/uploads/2018/11/2-Find-the-circumference-of-a-circle-whose-diameter-is-i-35-cm-ii-4.9-m..png)
(3) Find the circumference of a circle of radius 15 cm.
SOLUTION:
![](https://www.netexplanations.com/wp-content/uploads/2018/11/Find-the-circumference-of-a-circle-of-radius-15-cm.jpg)
(4) Find the radius of a circle whose circumference is 57.2 cm.
SOLUTION:
![](https://www.netexplanations.com/wp-content/uploads/2018/11/Find-the-radius-of-a-circle-whose-circumference-is-57.2-cm.jpg)
(5) Find the diameter of a circle whose circumference is 63.8 m.
SOLUTION:
![](https://www.netexplanations.com/wp-content/uploads/2018/11/Find-the-diameter-of-a-circle-whose-circumference-is-63.8-m.jpg)
(6) The circumference of a circle exceeds its diameter by 30 cm. Find the radius of the circle.
SOLUTION:
![](https://www.netexplanations.com/wp-content/uploads/2018/11/The-circumference-of-a-circle-exceeds-its-diameter-by-30-cm.-Find-the-radius-of-the-circle.jpg)
(7) The ratio of the radii of two circles is 5 : 3. Find the ratio of their circumference.
(8) How long will a man take to make a round of a circular field of radius 21 m, cycling at the speed of 8 km/h?
SOLUTION:
![](https://www.netexplanations.com/wp-content/uploads/2018/11/The-ratio-of-the-radii-of-two-circles-is-5-istu-3-Find-the-ratio-of-their-circumference.jpg)
![](https://www.netexplanations.com/wp-content/uploads/2018/11/How-long-will-a-man-take-to-make-a-round-of-a-circular-field-of-radius-21-m.jpg)
![](https://www.netexplanations.com/wp-content/uploads/2018/11/8-How-long-will-a-man-take-to-make-a-round-of-a-circular-field-of-radius-21-m-cycling-at-the-speed-of-8-kmh.png)
(9) A racetrack is in the form of a ring whose inner circumference is 528 m and the outer circumference is 616 m. Find the width of the track.
SOLUTION:
![](https://www.netexplanations.com/wp-content/uploads/2018/11/A-racetrack-is-in-the-form-of-a-ring-whose-inner-circumference-is-528-m-and-the-outer-circumference-is-616-m.-Find-the-width-of-the-track.jpg)
(10) The inner circumference of a circular track is 330 m. The track is 10.5 m wide everywhere. Calculate the cost of putting up a fence along the circle at the rate of Rs 20 per metre.
![](https://www.netexplanations.com/wp-content/uploads/2018/11/10-The-inner-circumference-of-a-circular-track-is-330-m.-The-track-is-10.5-m-wide-everywhere.-Calculate-the-cost-of-putting-up-a-fence-along-the-circle-at-the-rate-of-Rs-20-per-metre..png)
(11) One circle has a radius of 98 cm and a second concentric circle has a radius of 1 m 26 cm. How much longer is the circumference of the second circle than that of the first?
SOLUTION:
(12) A piece of wire is bent in the shape of an equilateral triangle each of whose sides measures 8.8 cm. This wire is rebent to form a circular ring. What is the diameter of the ring?
SOLUTION:
![](https://www.netexplanations.com/wp-content/uploads/2018/11/A-piece-of-wire-is-bent-in-the-shape-of-an-equilateral-triangle-each-of-whose-sides-measures-8.8-cm.-This-wire-is-rebent-to-form-a-circular-ring.-What-is-the-diameter-of-the-ring.jpg)
(13) A rhombus has the same perimeter as the circumference of a circle. If each side of the rhombus measures 33 cm, find the radius of the circle.
SOLUTION:
![](https://www.netexplanations.com/wp-content/uploads/2018/11/A-rhombus-has-the-same-perimeter-as-the-circumference-of-a-circle.-If-each-side-of-the-rhombus-measures-33-cm-find-the-radius-of-the-circle.jpg)
(14) A wire in the form of a rectangle 18.7 cm long and 14.3 cm wide is reshaped and bent into the form of a circle. Find the radius of the circle so formed.
SOLUTION:
![](https://www.netexplanations.com/wp-content/uploads/2018/11/A-wire-in-the-form-of-a-rectangle-18.7-cm-long-and-14.3-cm-wide-is-reshaped-and-bent-into-the-form-of-a-circle.-Find-the-radius-of-the-circle-so-formed.jpg)
(15) A wire is looped in the form of a circle of radius 35 cm. If it is rebent in the of a square, what will be the length of each side of the square?
SOLUTION:
![](https://www.netexplanations.com/wp-content/uploads/2018/11/A-wire-is-looped-in-the-form-of-a-circle-of-radius-35-cm.-If-it-is-rebent-in-the-of-a-square-what-will-be-the-length-of-each-side-of-the-square.jpg)
(16) A well of diameter 140 cm has a stone parapet around it. If the length of the outer edge of the parapet is 616 cm, find the width of the parapet.
SOLUTION:
![](https://www.netexplanations.com/wp-content/uploads/2018/11/A-well-of-diameter-140-cm-has-a-stone-parapet-around-it.-If-the-length-of-the-outer-edge-of-the-parapet-is-616-cm-find-the-width-of-the-parapet.jpg)
(17) Find the distance covered by the wheel of a bus in 2000 rotations if the diameter of the wheel is 98 cm.
SOLUTION:
![](https://www.netexplanations.com/wp-content/uploads/2018/11/Find-the-distance-covered-by-the-wheel-of-a-bus-in-2000-rotations-if-the-diameter-of-the-wheel.jpg)
(18) The diameter of the wheel of a cycle is 70 cm. How far will it go in 250 revolutions?
SOLUTION:
![](https://www.netexplanations.com/wp-content/uploads/2018/11/The-diameter-of-the-wheel-of-a-cycle-is-70-cm.-How-far-will-it-go-in-250-revolutions.jpg)
(19) The diameter of the wheel of a car is 77 cm. How many revolutions will it make to travel 121 km?
SOLUTION:
![](https://www.netexplanations.com/wp-content/uploads/2018/11/The-diameter-of-the-wheel-of-a-car-is-77-cm.-How-many-revolutions-will-it-make-to-travel-121-km.jpg)
![](https://www.netexplanations.com/wp-content/uploads/2018/11/distance.jpg)
(20) A bicycle wheel makes 5000 revolutions in moving 11 km. Find the circumference and the diameter of the wheel.
SOLUTION:
![](https://www.netexplanations.com/wp-content/uploads/2018/11/A-bicycle-wheel-makes-5000-revolutions-in-moving-11-km.-Find-the-circumference-and-the-diameter-of-the-wheel.jpg)
(21) The hour and minute hands of a clock are 4.2 cm and 7 cm long respectively. Find the sum of the distance covered by their tips in 1 day.
SOLUTION:
![](https://www.netexplanations.com/wp-content/uploads/2018/11/The-hour-and-minute-hands-of-a-clock-are-4.2-cm-and-7-cm-long-respectively.-Find-the-sum-of-the-distance-covered-by-their-tips-in-1-day.jpg)
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